3c^2-17cd-6d^2=0

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Solution for 3c^2-17cd-6d^2=0 equation: 


Simplifying
3c2 + -17cd + -6d2 = 0

Reorder the terms:
-17cd + 3c2 + -6d2 = 0

Solving
-17cd + 3c2 + -6d2 = 0

Solving for variable 'c'.

Factor a trinomial.
(c + -6d)(3c + d) = 0


Subproblem 1
Set the factor '(c + -6d)' equal to zero and attempt to solve:

Simplifying
c + -6d = 0

Solving
c + -6d = 0

Move all terms containing c to the left, all other terms to the right.

Add '6d' to each side of the equation.
c + -6d + 6d = 0 + 6d

Combine like terms: -6d + 6d = 0
c + 0 = 0 + 6d
c = 0 + 6d
Remove the zero:
c = 6d

Simplifying
c = 6d

Subproblem 2
Set the factor '(3c + d)' equal to zero and attempt to solve:

Simplifying
3c + d = 0

Solving
3c + d = 0

Move all terms containing c to the left, all other terms to the right.

Add '-1d' to each side of the equation.
3c + d + -1d = 0 + -1d

Combine like terms: d + -1d = 0
3c + 0 = 0 + -1d
3c = 0 + -1d
Remove the zero:
3c = -1d

Divide each side by '3'.
c = -0.3333333333d

Simplifying
c = -0.3333333333d
Solution
c = {6d, -0.3333333333d}

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